Results 21 to 30 of about 2,690,813 (243)
Journal of Mathematics, 2020 The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
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Numerical Solution of Fractional Order Integro-Differential Equations via Müntz Orthogonal Functions
Journal of Mathematics, 2023 In this paper, we derive a spectral collocation method for solving fractional-order integro-differential equations by using a kind of Müntz orthogonal functions that are defined on 0,1 and have simple and real roots in this interval.
S. Akhlaghi +2 more
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High performance quadrature rules: how numerical integration affects a popular model of product differentiation [PDF]
, 2011 Efficient, accurate, multi-dimensional, numerical integration has become an important tool for approximating the integrals which arise in modern economic models built on unobserved heterogeneity, incomplete information, and uncertainty. This paper demonstrates that polynomialbased rules out-perform number-theoretic quadrature (Monte Carlo) rules both ...
Kenneth L. Judd, Ben Skrainka
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On Convergence of Quadrature Methods for the Lipschitz-Continuous Functions [PDF]
, 2000 In this article we present a new approach to quadrature methods where any quadrature formula is generated by a discontinuous function whose jumps are quadrature weights.
Fedotov, I, Dragomir, Sever S
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International Journal of Mathematics and Mathematical Sciences, 2012 A quadrature-based mixed Petrov-Galerkin finite element method is applied to a fourth-order linear ordinary differential equation. After employing a splitting technique, a cubic spline trial space and a piecewise linear test space are considered in the ...
L. Jones Tarcius Doss, A. P. Nandini
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Buildings, 2022 This paper combines third-order shear deformation theory (TSDT) and modified couple stress theory (MCST) with the principle of total potential energy to analyze the size-dependent buckling behavior of a functionally graded carbon nanotube-reinforced ...
Pouyan Roodgar Saffari +2 more
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Archives of Mechanics, 2021 In this study, nonlinear fundamental natural frequencies of Functionally Graded (FG) multilayer Graphene Platelet-reinforced Polymer Composite (GPL-RPC) curved cylindrical panels are studied.
T. Farsadi, D. Asadi, H. Kurtaran
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Advances in Difference Equations, 2018 Fractional differential equations (FDEs) of distributed-order are important in depicting the models where the order of differentiation distributes over a certain range.
Jiahui Hu, Jungang Wang, Yufeng Nie
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Geodesy and Geodynamics, 2020 The objectives of this paper are twofold: (1) to present a new method of approximation such that the function and some of its derivatives are simultaneously approximated; and (2) to investigate the potential applications of this new method in the field ...
M. Kiani
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido, Guido Lombardi
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